To establish further the analogy between the H-P flow and the flows in biological and physical systems, we have simulated an H-P adaptive flow with a geometry similar to the ones found in plant leaves, tumor vascularisation or electric circuits. The steady states of the adapted H-P flows are shown in Figure REF . In these simulations, the steady stated are different but are metrically close. The structure of the tree network is similar to the vascularisation channels found in plant leaves [1]}, or electric circuits [2]}. However, is all these simulations, we have not found edge loops in directions transverse to the radial flow emanating from food sources, as observed in Physarum.
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